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BaseRepresentation
bin11001111010000000…
…00010011100100000
31022220021221222010000
430331000002130200
5211441012301310
610220035340000
71001442533652
oct147500023440
938807858100
1013908322080
115997981264
122841a51600
1314086202a3
1495d2506d2
155660744c0
hex33d002720

13908322080 has 480 divisors, whose sum is σ = 50782718448. Its totient is φ = 3583180800.

The previous prime is 13908322037. The next prime is 13908322097. The reversal of 13908322080 is 8022380931.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4157154576 + 9751167504 = 64476^2 + 98748^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57710760 + ... + 57711000.

Almost surely, 213908322080 is an apocalyptic number.

13908322080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13908322080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25391359224).

13908322080 is an abundant number, since it is smaller than the sum of its proper divisors (36874396368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13908322080 is a wasteful number, since it uses less digits than its factorization.

13908322080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13908322080 in words is "thirteen billion, nine hundred eight million, three hundred twenty-two thousand, eighty".